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lord [1]
2 years ago
14

I have three times as many cats as Alice but Bob has 7 less cats than me. In total we have 56 cats. How many cats do I have?

Mathematics
1 answer:
Nookie1986 [14]2 years ago
4 0

The number of cats that you have is; 27 cats

<h3>How to calculate algebra word problems?</h3>

Let the number of cats alice has be x.

Since you have thrice the amount of cats that alice has, then you have 3x cats.

Bob has 7 less cats than you. Thus, bob has; 3x - 7

If they have a total of 56 cats, then;

x + 3x - 7 + 3x = 56

7x - 7 = 56

7x = 56 + 7

7x = 63

x = 63/7

x = 9

Thus, number of cats you have = 3x = 3 * 9 = 27 cats

Read more on algebra word problems at; brainly.com/question/13818690

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3/8(2x-8/3x)=21 solve the equation for x​
mart [117]

Answer:

\boxed{\bold{x=-84}}

Explanation:

Multiply Both Sides By 8:

= \bold{8\cdot \frac{3}{8}\left(2x-\frac{8}{3}x\right)=21\cdot \:8}

Simplify:

= \bold{-2x=168}

Divide Both Sides By -2:

= \bold{\frac{-2x}{-2}=\frac{168}{-2}}

Simplify:

= \bold{x=-84}

//Mordancy //.

7 0
3 years ago
Read 2 more answers
Distribute and simplify the following:<br><br>3 ( x + 4) + 2 ( 5 - x)​
lesya [120]

Step-by-step explanation:

Given

3 ( x + 4) + 2 ( 5 - x)

= 3x + 12 + 10 - 2x

= x + 22

Hope it will help :)❤

4 0
2 years ago
OK this is another question which I need help on please please help if you can. CAUSED ME MUCH DISTRESS
r-ruslan [8.4K]

Answer:

15 = 2x - 3y

Step-by-step explanation:

We have the two points P1(3,-3) and P2(9,1).

First, calculate the slope between those points:

slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{9 - 3} = \frac{4}{6} = \frac{2}{3}

Now simply move 3 steps from (3,-3) towards the y-axis to get the intersection with the y-axis (each step reduces x by 1 and applies the slope to the y-value):

(3,-3)

---> (2, -3 - (2/3)) = (2,-3 2/3)

---> (1, (-3 2/3) - 2/3) = (1, -4 1/3)

---> (0, (-4 1/3) - 2/3) = (0,-5)

This tells us, that our line intersects the y-axis at (0,-5).

The general form of a line is f(x) = <SLOPE> * x + <Y-VALUEATXEQUALSZERO>.

In our case: f(x) = y = (2/3)x -5.

To get it into the correct form, we simply subtract y from both sides and get:

0 = (2/3)x - y - 5

To get only integers just multiply everything with 3 and add 15 and get:

15 = 2x - 3y, which fulfils the form asked for in the problem.

3 0
2 years ago
Keith has 500 in a savings account at the beginning of the summer he wants to have at least 200 at the end of the summer he with
Feliz [49]

Let w be the number of weeks. He withdraws $25 per week, so in w weeks, he withdraws 25w. He starts with $500, so after w weeks he has 500 - 25w. He wants this amount to be at least $200. "At least" means "greater than or equal to."

500 - 25w >= 200

-25w >= -300

w <= 12

Answer: Keith can withdraw $25 per week for at most 12 weeks.

8 0
3 years ago
Read 2 more answers
What does-25=1/3n-10 equal
Nutka1998 [239]

Answer:

-45

Step-by-step explanation:

add 10 to -25, then divide 1/3 to that answer, which is -15. and you get -45

6 0
3 years ago
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